# "conjugate with" or "conjugate to"

This is a question specifically about English language usage in mathematics, but it is probably the same in all topics (however I can't really think of an example in everyday life!).

Should I say "A is conjugate to B" or "A is conjugate with B"? I'm pretty sure "A is the conjugate of B" is acceptable, but I think (at least one) of the previous is also correct.

I'm referring to "conjugate" as in "subgroups are conjugate".

• Try "a and b are conjugate." You seem to be implying some sort of unique conjugacy, perhaps with the conjugacy operator fixed. "a and b are congugate" just means that some operator does exist which satisfies the conjugacy condition. Nov 15, 2016 at 22:54
• In the phrase "subgroups are conjugate", it would also be common to make the subject and object agree in number and say "subgroups are conjugates" (with an implied "of each other") although the meaning is slightly different than the singular "conjugate" which refers to the relationship itself rather than the relationship of members of the set whose members are conjugate. Nov 16, 2016 at 6:39